Solve the equation 5(4x – 1.5x) + 12 = 4x – 124 for x. The solution to the equation is ____.

To solve the equation ( 5(4x – 1.5x) + 12 = 4x – 124 ), let’s follow these steps:

1. Simplify the left side:

First, simplify ( 4x – 1.5x ):

[

4x – 1.5x = 2.5x

]

Then, substitute this back into the equation:

[

5(2.5x) + 12 = 4x – 124

]

2. Distribute the 5:

[

12.5x + 12 = 4x – 124

]

3. Isolate the variable:

Next, move ( 4x ) to the left side by subtracting ( 4x ) from both sides:

[

12.5x – 4x + 12 = -124

]

Which simplifies to:

[

8.5x + 12 = -124

]

4. Subtract 12 from both sides:

[

8.5x = -124 – 12

]

[

8.5x = -136

]

5. Divide both sides by 8.5:

[